Almost Sharp Global Well-Posedness for a class of Dissipative and Dispersive Equations on R in Low Regularity Sobolev Spaces

Mikael Signahl

Almost Sharp Global Well-Posedness for a class of Dissipative and Dispersive Equations on R in Low Regularity Sobolev Spaces

Analysis of PDEs 2015-01-09 v2

Authors: Mikael Signahl

Abstract

In this paper we obtain global well-posedness in low order Sobolev spaces of higher order KdV type equations with dissipation. The result is optimal in the sense that the flow-map is not twice continuously differentiable in rougher spaces. The solution is shown to be smooth for positive times.

Keywords

global well-posedness dissipative and dispersive equations higher order kdv type equations low regularity sobolev spaces flow-map differentiability smoothing effect

Cite

@article{arxiv.1409.3706,
  title  = {Almost Sharp Global Well-Posedness for a class of Dissipative and Dispersive Equations on R in Low Regularity Sobolev Spaces},
  author = {Mikael Signahl},
  journal= {arXiv preprint arXiv:1409.3706},
  year   = {2015}
}

Comments

This paper has been withdrawn by the author due to several errors

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